16004
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 28014
- Proper Divisor Sum (Aliquot Sum)
- 12010
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8000
- Möbius Function
- 0
- Radical
- 8002
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Decimal part of cube root of a(n) starts with 2: first term of runs.at n=24A034128
- Number of "connected animals" formed from n tricapped truncated tetrahedra in the diamond lattice, allowing translation and rotations of the lattice.at n=9A038168
- Number of solutions (x,y,z,u,v,w) to x+y+z = u+v+w, 0<=x,y,z,u,v,w<=n-1, x>=y>=z, u>=v>=w.at n=14A071009
- Members of 3-cycles of permutation A111273.at n=12A113701
- a(n) = (5*n^3+12*n^2+n+6)/6.at n=26A114211
- Number of 3 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.at n=27A223950
- Number of ways to cut an n X n square into squares with integer sides, reduced for symmetry, where the orbits under the symmetry group of the square, D4, have 1 element.at n=13A226978
- Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 14.at n=2A233711
- Number of (n+1)X(3+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 14.at n=1A233712
- T(n,k) = Number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having the sum of the squares of the edge differences equal to 14 (14 maximizes T(1,1)).at n=7A233717
- T(n,k) = Number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having the sum of the squares of the edge differences equal to 14 (14 maximizes T(1,1)).at n=8A233717
- Main diagonal of array in A358298.at n=21A358301
- a(n), read backwards, is present as a substring in a(n) + a(n+1). This is the lexicographically earliest sequence of distinct terms > 0 with this property.at n=44A360947
- Number of subsets of {1..n} such that some element can be written as a nonnegative linear combination of the others.at n=14A364914
- G.f. A(x) satisfies A(x) = ( 1 + 16*x*A(x)/(1 - x*A(x)) )^(1/4).at n=11A372020